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arXiv:1010.3380 [math.GN]AbstractReferencesReviewsResources

Topological classification of affine operators on unitary and Euclidean spaces

Tetiana Budnitska

Published 2010-10-16Version 1

We classify affine operators on a unitary or Euclidean space U up to topological conjugacy. An affine operator is a map f: U-->U of the form f(x)=Ax+b, in which A: U-->U is a linear operator and b in U. Two affine operators f and g are said to be topologically conjugate if hg=fh for some homeomorphism h: U-->U.

Categories: math.GN, math.DS, math.RT
Subjects: 37C15, 15A21
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